Three Dimensional Geometry  MCQs

MCQs of Three Dimensional Geometry

Showing 11 to 20 out of 188 Questions
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11.
The plane passing through the points (1, 1, 1), (1, -1, 1) and (-1, 3, -5) will pass through (2, k, 4) for _____.
(a) no value of k
(b) two values of k
(c) any value of k
(d) unique k
Answer:

Option (c)

12.
If the foot of the perpendicular from the origin to a plane is (a, b, c), the equation of the plane is _____.
(a) ax + by + cz = a + b + c
(b) ax + by + cz = abc
(c) xa + yb+zc= 1
(d) ax + by + cz = a2 + b2 + c2
Answer:

Option (d)

13.
Equation of the line L passing through A(-2, 2, 3) and perpendicular to AB↔ is _____ where coordinates of B are (13, -3, 13).
(a) x-23 = y + 213 = z+32
(b) x+23 = y - 213 = z-32
(c) x+215 = y - 2-5 = z-310
(d) x-215 = y + 2-5 = z+310
Answer:

Option (b)

14.
If x-41 = y - 21 = z-k2 lies in the plane 2x - 4y + z = 7, then k= _____.
(a) 7
(b) 6
(c) -7
(d) any value of k
Answer:

Option (a)

15.
Perpendicular distance of (2, -3, 6) from 3x - 6y + 2z + 10 = 0 is _____.
(a) 137
(b) 467
(c) 7
(d) 107
Answer:

Option (b)

16.
Line passing through (2, -3, 1) and (3, -4, -5) intersects ZX - plane at _____.
(a) (-1, 0, 13)
(b) (-1, 0, 19)
(c) 136, 0, -196
(d) (0, -1, 13)
Answer:

Option (b)

17.
If lines r = (2,-3, 7) +k(2, a, 5), k∈R and r = (1, 2, 3) +k(3, -a, a), k∈R are perpendicular to each other, then a _____.
(a) 2
(b) -6
(c) 1
(d) -1
Answer:

Option (d)

18.
Point of intersection of the lines r¯×a¯=b¯×a¯ and r¯×b¯=a¯×b¯ is _____
(a) a¯
(b) b¯
(c) a¯+b¯
(d) a¯-b¯
Answer:

Option (c)

19.
a b c=0  is the _____ condition for Aa,Bb, Cc to be collinear.
(a) necessary and sufficient
(b) sufficient
(c) necessary
(d) none of these
Answer:

Option (c)

20.
The normal of the plane passing through (1,-2, 3) and (-1,2,-1) and parallel to the line x-22=y+13=z4 is _____
(a) (2,3,4)
(b) (14,0,7)
(c) (-2,0,-1)
(d) (2,0,-1)
Answer:

Option (d)

Showing 11 to 20 out of 188 Questions
1 2 3 4 5 6